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If int(xln(x+sqrt(1+x^2)))/(sqrt(1+x^2))...

If `int(xln(x+sqrt(1+x^2)))/(sqrt(1+x^2))dx =asqrt(1+x^2)ln(x+sqrt(1+x^2))+b x+c` , then (A) `a=1,b =-1` (B) `a=1,b=1` (C) `a=-1, b=1` (D) `a=-1, b=-1`

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CENGAGE ENGLISH-INTEGRALS-All Questions
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  3. If int(xln(x+sqrt(1+x^2)))/(sqrt(1+x^2))dx =asqrt(1+x^2)ln(x+sqrt(1+x...

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  4. If intf(x)sinxcosxdx=1/(2(b^2-a^2))lnf(x)+c ,then f(x) is equal to

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  5. Ifxf(x)=3f^2(x)+2,t h e nint(2x^2-12 xf(x)+f(x))/((6f(x)-x)(x^2-f(x))^...

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  6. int(dx)/((1+sqrt(x))sqrt((x-x^2)))is equal to (a)(1+sqrt(x))/((1-x)^2...

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  7. The value of integral inte^x(1/(sqrt(1+x^2))+(1-2x^2)/(sqrt((1+x^2)^5)...

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  10. A curve g(x)=intx^(27)(1+x+x^2)^6(6x^2+5x+4)dx is passing through orig...

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  11. If intsqrt(cos e cx+1)dx=kfog(x)+c ,w h e r ek is a real constant, th...

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  12. int(x^4-1)/(x^2sqrt(x^4+x^2+1))dx= (a) sqrt(x^2+1/(x^2)+1)+C (b) (...

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  13. int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx is equal to (a) (sqrt(2x^4-2x^2+1...

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  14. intsqrt(e^x-1)dxi se q u a lto 2[sqrt(e^x-1)-tan^(-1)sqrt(e^x-1)]+c ...

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  15. If intsinx d(secx)=f(x)-g(x)+c ,t h e n f(x)=secx (b) f(x)=tanx g(x...

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  16. If I=int(sinx+sin^3x)/(cos2x)dx=Pcosx+Qlog|f(x)|+R , then (a)P=1/2,Q...

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  17. If int(e^(x-1))/((x^2-5x+4))2xdx=A F(x-1)+B F(x-4)+C and F(x)=int(e^x)...

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  18. Evaluate: int1/xsqrt((1-sqrt(x))/(1+sqrt(x))dx)

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